Finding the Fourth Proportional to 8,005,405,722.24, 11,991,215,517.40 and 6,422,945,476.80
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Solution
The fourth proportional to 8,005,405,722.24, 11,991,215,517.40 and 6,422,945,476.80 is: 9,620,864,468.47
Step by Step Solution
- Step 1: Write the proportion equation
8,005,405,722.24 : 11,991,215,517.40 = 6,422,945,476.80 : x - Step 2: Convert to fraction form
8,005,405,722.24/11,991,215,517.40 = 6,422,945,476.80/x - Step 3: Cross multiply
8,005,405,722.24x = 11,991,215,517.40 × 6,422,945,476.80 - Step 4: Simplify right side
8,005,405,722.24x = 77,018,923,468,818,300,928 - Step 5: Solve for x
x = 77,018,923,468,818,300,928/8,005,405,722.24 - Step 6: Final answer
x = 9,620,864,468.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.